## Economic and mathematical modeling of the distribution of financial resources for research and development

The authors constructed an economic-mathematical model of optimal allocation of financial resources for research and development using the mechanism of dynamic programming. In the conditional example, the authors calculated the allocation of budget funds using the method of dynamic programming. In order to evaluate the prospects of applying the proposed model, the authors analyzed the current state of funding for research and development and considered the positive foreign experience. The expediency of using the proposed model in domestic practice is substantiated.